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Simplifying 5v = 2v2 + -3 Reorder the terms: 5v = -3 + 2v2 Solving 5v = -3 + 2v2 Solving for variable 'v'. Reorder the terms: 3 + 5v + -2v2 = -3 + 2v2 + 3 + -2v2 Reorder the terms: 3 + 5v + -2v2 = -3 + 3 + 2v2 + -2v2 Combine like terms: -3 + 3 = 0 3 + 5v + -2v2 = 0 + 2v2 + -2v2 3 + 5v + -2v2 = 2v2 + -2v2 Combine like terms: 2v2 + -2v2 = 0 3 + 5v + -2v2 = 0 Factor a trinomial. (3 + -1v)(1 + 2v) = 0Subproblem 1
Set the factor '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3Subproblem 2
Set the factor '(1 + 2v)' equal to zero and attempt to solve: Simplifying 1 + 2v = 0 Solving 1 + 2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2v = 0 + -1 2v = 0 + -1 Combine like terms: 0 + -1 = -1 2v = -1 Divide each side by '2'. v = -0.5 Simplifying v = -0.5Solution
v = {3, -0.5}
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